Hyperfine Interactions

, Volume 158, Issue 1–4, pp 25–28 | Cite as

Spin-orbit Induced Electric Field Gradients in Magnetic Solids

  • H. Ebert
  • M. Battocletti


The spin–orbit induced electric field gradient in cubic ferromagnets has been observed experimentally in the past for many systems. Even its dependence on the orientation of the magnetisation with respect to the crystallographic axes could be convincingly demonstrated. A fully relativistic description is presented that is based on the Korringa–Kohn–Rostoker (KKR) method of band structure calculation. Application of this approach to substitutional 5d-transition metals in Fe led to a satisfying agreement with available experimental data. To allow for a more detailed discussion of the results an analytical model has been developed, that treats spin-orbit coupling as a perturbation.

Key Words

electric field gradient ferromagnets spin-orbit coupling 


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  1. 1.
    Aiga M. and Itoh J., Nuclear electric quadrupole interaction of iridium nuclei in dilute alloys of iron and nickel, J. Phys. Soc. Japan 31 (1971), 1844.ADSCrossRefGoogle Scholar
  2. 2.
    Blaha P., Schwarz K. and Dederichs P. H., First-principles calculation of the electric-field gradient in HCP metals, Phys. Rev. B 37 (1988), 2792.CrossRefADSGoogle Scholar
  3. 3.
    Cracknell A. P., Time-reversal degeneracy in the electronic band structure of a magnetic metal, J. Phys. C: Solid State Phys. 2 (1969), 1425.CrossRefADSGoogle Scholar
  4. 4.
    Ebert H., Fully relativistic band structure calculations for magnetic solids – Formalism and Application, In: H. Dreyssé (ed.), Electronic Structure and Physical Properties of Solids, Vol. 535 of Lecture Notes in Physics, Springer, Berlin Heidelberg New York, 2000, p. 191.CrossRefGoogle Scholar
  5. 5.
    Ebert H., Minár J. and Popescu V., Magnetic dichroism in electron spectroscopy, Vol. 580 of Lecture Notes in Physics, Springer, Berlin Heidelberg New York, 2001, p. 371.Google Scholar
  6. 6.
    Gehring G. A. and Williams H. C. W. L., On the effects of spin-orbit coupling on impurity atoms in cubic ferromagnetic alloys, J. Phys. F: Met. Phys. 4 (1974), 291.CrossRefADSGoogle Scholar
  7. 7.
    Herzig P., Electrostatic potentials, fields and field gradients from a general crystalline charge density, Theoret. Chim. Acta. (Berlin) 67 (1985), 323.CrossRefGoogle Scholar
  8. 8.
    Rose M. E., Relativistic Electron Theory, Wiley, New York, 1961.MATHGoogle Scholar
  9. 9.
    Seewald G., Hagn E., Zech E., Kleyna R., Voß M. and Burchard A., Spin-orbit induced noncubic charge distribution in cubic ferromagnets. I. Electric field gradient measurements on 5d impurities in Fe and Ni, Phys. Rev. B 66 (2002a), 174401.CrossRefADSGoogle Scholar
  10. 10.
    Seewald G., Zech E. and Haas H., Spin-orbit induced noncubic charge distribution in cubic ferromagnets. II. Tight-binding analysis, Phys. Rev. B 66 (2002b), 174402.CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of ChemistryUniversity of MunichMünchenGermany

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